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  • John Rhodes
  • July 30, 2023
  • Calculus

Finding the Derivative of the Function h(x) = ∫x^3-12+t^2√dt using the Fundamental Theorem of Calculus | Step-by-Step Guide

If h(x)=∫x3−12+t2−−−−−√ⅆt for x≥0, then h′(x)= To find the derivative of the function h(x)=∫x^3-12+t^2√dt, we can use the Fundamental Theorem of Calculus To find the derivative of...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Mastering the Power Rule | A Fundamental Guide to Calculus Derivatives of Functions Raised to a Power

Power Rule The power rule is a fundamental rule in calculus that allows us to find the derivative of a function that is raised to a power...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Mastering the Product Rule in Calculus | A Comprehensive Guide to Differentiating the Product of Functions

Product Rule The product rule is a formula used in calculus to differentiate the product of two or more functions The product rule is a formula used...
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  • John Rhodes
  • July 30, 2023
  • Calculus

How to Use the Quotient Rule to Find the Derivative of a Function

Quotient Rule The quotient rule is a rule in calculus that helps us find the derivative of a quotient of two functions The quotient rule is a...
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  • John Rhodes
  • July 30, 2023
  • Calculus

How to Find the Derivative of the Sine Function | Explained with the Chain Rule and the Unit Circle

Derivative of sin(x) The derivative of sin(x) with respect to x can be found using the chain rule and the derivative of the sine function The derivative...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Mastering the Chain Rule | Finding the Derivative of Cos(x) Using the Chain Rule

Derivative of cos(x) The derivative of the cosine function can be found by using the chain rule of differentiation The derivative of the cosine function can be...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Exploring the Derivative of Exponential Functions | Formula and Explanation

Exponential Derivative The exponential function is a mathematical function of the form f(x) = a^x, where ‘a’ is a constant greater than zero (called the base) and...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Finding the Derivative of e^x | A Fundamental Result in Calculus

Derivative of e^x The derivative of e^x, denoted as d/dx (e^x) or e^x’, is a fundamental result in calculus The derivative of e^x, denoted as d/dx (e^x)...
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